摘要
本文在点标道路连通CW空间的同伦范畴中,利用同伦推出示性了同伦满态,得出了若f:X-Y是同伦满态,则对π1Y的任一正规子群H,升腾映射f:X(f-1#(H))→■(H)也是同伦满态.
In this paper, we study in the homotopy category of pointed path-connected CW-spaces. Using homotopy pushouts to characterize homotopy epimorphisms, we have the result as follows: If f: X→ Y is a homotopy epimorphism, H is a normal subgroup of π1Y, then the lifting f: X(f#-l(H)) → Y(H) is also a homotopy epimorphism.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1994年第4期475-481,共7页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金
广东省自然科学基金资助项目
关键词
同伦满态
覆叠空间
同伦范畴
homotopy epimorphisms, homotopy pushouts, covering spaces, liftings